Algebra: must make a chart
$/lb * # of lbs = total
Oak 3.4 x 3.4x
Pine 2.6 40-x 104-2.6x
Mixture 2.8 40 112
Now you can set up your equation ( assuming you know how to do equations 'cuz I figure you're in algebra)
3.4x + 104 - 2.6x = 112
.8x + 104 = 112
.8x = 8
10 pounds of oak
30 pounds of pine
Answer:
5. m<STP = 134
6. m<PTS = 158
Step-by-step explanation:
5. Since ray TR bisects <PTS, angles PTR and STR are congruent.
m<PTR = m<STR
3x - 8 = 2x + 17
Subtract 2x from both sides.
x - 8 = 17
Add 8 to both sides.
x = 25
m<STP = 2m<PTR
m<STP = 2(3x - 8)
m<STP = 2(3 × 25 - 8)
m<STP = 2(67)
m<STP = 134
6.
2m<PTR = m<PTS
2(x - 23) = x + 56
2x - 46 = x + 56
x = 102
m<PTS = x + 56
m<PTS = 102 + 56
m<PTS = 158
Let x = 30% y=16%
We need 5 liters of 27.2% acid
A) x + y = 5
B) .30 x + .16y = 5 * .272
Multiplying A by -.30
A) -.30 x - .30y = -1.5 then adding to B
B) .30 x + .16y = 1.36
-.14y = -.14
y = 1 liter 16%
x = 4 liters 30%
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Answer:
m∠C = 28.1°
Explanation:
angle m∠C has opposite angle of 16 and hypotenuse of 34
using sine rule:
C = 28.07248°
C = 28.1°